Multipolar second-harmonic generation by Mie-resonant dielectric nanoparticles

Abstract

By combining analytical and numerical approaches, we study resonantly enhanced second-harmonic generation (SHG) by individual high-index dielectric nanoparticles made of centrosymmetric materials. Considering both bulk and surface nonlinearities, we describe second-harmonic nonlinear scattering from a silicon nanoparticle optically excited in the vicinity of the magnetic and electric dipolar resonances. We discuss the contributions of different nonlinear sources, and the effect of the low-order optical Mie modes on the characteristics of the generated far-field. We demonstrate that the multipolar expansion of the radiated field is dominated by dipolar and quadrupolar modes (two axially symmetric electric quadrupoles, an electric dipole, and a magnetic quadrupole), and the interference of these modes can ensure directivity of the nonlinear scattering. The developed multipolar analysis can be instructive for interpreting the far-field measurements of the nonlinear scattering, and it provides prospective insights into a design of CMOS-compatible nonlinear nanoantennas fully integrated with silicon-based photonic circuits, as well as new methods of nonlinear diagnostics.

12 pages, 7 figures

References in corpus (9)

• Magnetic light
• Resonantly enhanced second-harmonic generation using III-V semiconductor all-dielectric metasurfaces
• Electromagnetic multipole theory for optical nanomaterials
• Multipolar nonlinear nanophotonics
• Origin of optical second-harmonic generation in spherical gold nanoparticles: Local surface and nonlocal bulk contributions
• Multipolar third-harmonic generation driven by optically-induced magnetic resonances
• Origin of Second Harmonic Generation from individual Silicon Nanowires
• Enhanced nonlinear optical response from individual silicon nanowires
• Nonlinear Surface-Plasmon Whispering-Gallery Modes in Metallic Nanowire Cavities

Cited by in corpus (10)

• Symmetry analysis and multipole classification of eigenmodes in electromagnetic resonators for engineering their optical properties
• Multipolar second-harmonic generation from high-$Q$ quasi-BIC states in nanoresonators
• Second-harmonic generation in Mie-resonant dielectric nanoparticles made of noncentrosymmetric materials
• Second harmonic generation in dielectric nanoparticles with different symmetries
• Near-Field Enhancement of Optical Second Harmonic Generation in Hybrid Gold-Lithium Niobate Nanostructures
• Nonlinearity-induced optical torque
• Nonlinear generation of quantum-entangled photons from high-Q states in dielectric nanoparticles
• When does nonlinear circular dichroism appear in achiral dielectric nanoparticles?
• Second harmonic generation from Chalcogenide metasurfaces via mode coupling engineering
• Inverse Design of Nonlinear Metasurfaces for Sum Frequency Generation